| 多层介质的转移矩阵及其在声子晶体中的应用 |
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| 引用本文： | 刘启能.多层介质的转移矩阵及其在声子晶体中的应用[J].应用声学,2009,28(5):378-383. |
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| 作者姓名： | 刘启能 |
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| 作者单位： | 重庆工商大学计信学院,重庆,400067 |
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| 基金项目： | $教育部工程研究中心项目基金 |
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| 摘 要： | 引入四维波矢的概念,推导出弹性波斜入射到多层介质系统时的转移矩阵以及透射系数和反射系数。利用这些公式计算了纵波和横波正入射到一维掺杂声子晶体时纵波和横波的透射系数。得出:当纵波正入射时,透射波中纵波在一定频率范围内出现了禁带,并且在禁带的中心频率处出现了缺陷模。当横波正入射时也有相同的结果。
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| 关 键 词： | 多层介质 转移矩阵 卢子晶体 禁带 缺陷模 |
The transfer matrix of multilayer and its application in photonic crystal |
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| LIU Qi-Neng.The transfer matrix of multilayer and its application in photonic crystal[J].Applied Acoustics,2009,28(5):378-383. |
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| Authors: | LIU Qi-Neng |
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| Institution: | LIU Qi-Neng (Calculator Science College of Chongqing Technology and Business University,Chongqing 400067) |
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| Abstract: | Leading into the four-dimensional wave vector,the transfer matrix and the reflection and transmission coefficients of a multilayer are derived.Using there xepressions, the longitudinal wave and transversal wave transmission coefficient of the one-dimensional doping phononic crystal is calculated.When a longitudinal wave is normally incident,there is a forbidden band of the longitudinal wave in the transmission wave,and there is a defect mode in forbidden band center.When a transversal wave is normally incident,the same results are oftaines. |
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| Keywords: | Multilayer Transfer matrix Photonic crystal Forbidden band Defect mode |
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